Atkin-Lehner |
2- 3+ 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cb |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-7760309649408000 = -1 · 226 · 39 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 0 1 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121728,-16846848] |
[a1,a2,a3,a4,a6] |
Generators |
[9334666:399351230:4913] |
Generators of the group modulo torsion |
j |
-389608818861653/15156854784 |
j-invariant |
L |
6.0281713652397 |
L(r)(E,1)/r! |
Ω |
0.12750640551359 |
Real period |
R |
11.819350057223 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050bj1 56400di1 |
Quadratic twists by: -4 5 |